Let A = [[1,2],[-1,4]] If A⁻¹ = αI + βA... | Matrices

JEE MAIN 2021

27-07-21 S1

Question

Let $A=\left[\begin{array}{cc}1 & 2 \\ -1 & 4\end{array}\right]$. If $A^{-1}=\alpha I+\beta A, \alpha, \beta \in R, I$ is a $2 \times 2$ identity matrix, then $4(\alpha-\beta)$ is equal to :

Select the correct option:

$\frac{8}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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